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Finding the Fourth Proportional to 943.48, 1,302.13 and 570.48

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Solution

The fourth proportional to 943.48, 1,302.13 and 570.48 is: 787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.48 : 1,302.13 = 570.48 : x
  2. Step 2: Convert to fraction form
    943.48/1,302.13 = 570.48/x
  3. Step 3: Cross multiply
    943.48x = 1,302.13 × 570.48
  4. Step 4: Simplify right side
    943.48x = 742,834.95
  5. Step 5: Solve for x
    x = 742,834.95/943.48
  6. Step 6: Final answer
    x = 787.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.